Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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solve equations with adjacent angles practice complete this assessment …
$x = 30$
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select the correct text in the passage. which phrase in this excerpt fr…
"the blessings of another world war"
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a pentagon with vertices labeled a, b, c, d, e. side ab is labeled 3x +…
\( x = \frac{3}{2} \) (or \( 1.5 \))
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which two directions can a figure be rotated on a coordinate plane? sel…
The two directions a figure can be rotated on a coordinate plane are: - clockwise - counterclockwise
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when rotating a figure on a coordinate plane, it is rotated around the …
True
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y = -x² plot five points on the parabola: the vertex, two points to the…
The five points are: Vertex: $(0,0)$ Left points: $(-1,-1)$, $(-2,-4)$ Right points: $(1,-1)$, $(2,-4)$
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y = 3x² plot five points on the parabola: the vertex, two points to the…
The five points are: Vertex: $(0, 0)$ Left points: $(-1, 3)$, $(-2, 12)$ Right points: $(1, 3)$, $(2, 12)$
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23. how many planes appear in the figure?
\( 7 \)
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21. classify $\\angle 1$ and $\\angle 2$ using all relationships that a…
∠1 and ∠2 are adjacent angles, supplementary angles, and form a linear pair.
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20. ∠e and ∠f are supplementary. if m∠e = (9x - 38)° and m∠f = (2x + 42…
\(74^\circ\)
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how many solutions does this system of equations have? one solution no …
no solution
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1) area = 2) 16 in area = 3) 5 yd area = 4) 8 yd area = 5) 10 ft area =…
1. $530.66$ sq. ft 2. $803.84$ sq. in 3. $78.5$ sq. yd 4. $200.96$ sq. m 5. $78.5$ sq. ft 6. $38.465$ sq. in 7. $28.26$ sq. ft 8. $379.94$ sq. m 9. $113.04$ sq. yd
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are the great principles of political freedom and of natural justice, e…
to criticize the Fourth of July celebrations
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (-2,1) \)
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fellow - citizens, pardon me, allow me to ask, why am i called upon to …
The purpose of Frederick Douglass's speech is to critique the hypocrisy of Fourth of July celebrations, pointing out that the freedom and equality the holiday honors are denied to…
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grade 6 unit 4 georgia’s k-12 mathematics standards date: the algebra o…
First problem: $\text{moon} = 5$ Second problem: $\text{trapezoid} = 10$
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area = area = area =
First triangle area: \( 18 \) square feet Second triangle area: \( 16 \) square inches Third triangle area: \( 90 \) square yards
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snow day #3 assignment- optional a figure is shown, where triangle abc …
$(9.2, 16.1)$ *Note: Any scalar multiple of $(1.2,2.1)$ that extends the similarity will work; another valid answer is $(6, 10.5)$ (scalar factor 5, since $1.2*5=6$, $2.1*5=10.5$,…
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find the area of each triangle. 1) 2) 3) 4) 5) 6)
\( 36 \) square yards ### 2)
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iliana rotated trapezoid wxyz 180° about the origin. what is the correc…
$W'(4, -1)$, $X'(3, -3)$, $Y'(1, -3)$, $Z'(0, -1)$
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triangle xyz is rotated 90° clockwise about the origin. what are the co…
$(1, 3)$
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tomaz realized that the tip of a second hand on a clock rotates about t…
90° clockwise rotation
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24. for the right triangle $\\delta abc$ shown below, what is $\\tan b$…
J. $\frac{c}{a}$
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point a has coordinate a(3, 2). the point is rotated 180° clockwise abo…
$-3$
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y ≥ 4 plot points on the boundary line. select the line to switch betwe…
1. Draw a solid horizontal line through all points where $y=4$ (e.g., $(-10,4)$, $(0,4)$, $(10,4)$). 2. Shade the entire region of the coordinate plane that lies above this solid …
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triangle xyz has vertices x(-1, -3), y(0, 0), and z(1, -3). malik rotat…
$X'(-3, 1), Y'(0, 0), Z'(-3, -1)$
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tanya’s rotation maps point k(24, −15) to k’(−15, −24). which describes…
90° clockwise rotation
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triangle xyz has vertices x(1, -1), y(3, 4), and z(5, -1). nikko rotate…
$X'(1, 1), Y'(-4, 3), Z'(1, 5)$
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are the triangles similar? if so, what is the scale factor from δdef to…
Yes: 2/3 (the green option, assuming the first option is "Yes: 2/3")
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there is a coordinate grid with a shaded region and a dashed line. belo…
The correct inequalities are: - $3x+y<2$ - $y\leq -0.5x+4$ From the provided options, the selected and correct pair is: $3x+y<2$ and $y\geq -0.5x+4$ is incorrect, wait no—wait the…
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a school yard has an area of 24 square meters. what shape could represe…
El rectángulo con área 24 (por ejemplo, el de 3 columnas y 8 filas, generalmente el inferior derecho o superior izquierdo si se cuenta correctamente) es el que representa el patio…
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$\\triangle abc\\cong \\triangle xyz$ which is true? ab$\\cong$yx; bc$\…
C. \(AB \cong XY\) (assuming the orange option is labeled as C, with the text \(AB \cong XY\))
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what is the area of the rectangle? 7 5 square units
35
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rectangular area a tablet screen is a rectangle with a length of 9 inch…
63 square inches
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20. if a rectangle measures 20 meters by 48 meters, what is the length,…
F. 52
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question 5 0.5 pts find the slope between the points (1,3) and (4,-6). …
-3 (corresponding to the option with -3)
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question 3 match the following special types of lines to the correspond…
Vertical Line: Undefined Slope Horizontal Line: Slope = 0 ### Question 4
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question 3 0.5 pts match the following special types of lines to the co…
Vertical Line: \(m=\text{undefined}\) Horizontal Line: \(m = 0\) ### Question 4
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determine the slope of each line given the following information. write…
Slope of left line: $\boldsymbol{-\frac{9}{10}}$ Slope of right line: $\boldsymbol{2}$
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4. if ( d^circ = 130^circ ), what is the value of ( g^circ )? options: …
$60^\circ$
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4. if ( d^circ = 130^circ ), what is the value of ( g^circ )?
$200^\circ$
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directions: find the area and circumference of each circle below. 2. 3.…
2. Circumference: $14\pi$ m (≈43.98 m), Area: $49\pi$ m² (≈153.94 m²) 3. Circumference: $30\pi$ ft (≈94.25 ft), Area: $225\pi$ ft² (≈706.86 ft²) 4. Circumference: $20.4\pi$ in (≈6…
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3. what is the sum of ( k^circ + i^circ )? options: ( 290^circ ), ( 110…
$180^\circ$ (Option: 180°)
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** this is a 2 - page document! ** 1. give an example of each circle pa…
a) Center: $K$ b) Radius: $\overline{KJ}$ (or $\overline{KI}$, $\overline{KL}$) c) Chord: $\overline{JL}$ (or $\overline{HI}$, $\overline{IJ}$) d) Diameter: $\overline{IJ}$ e) Sec…
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1. the purpose of the compromise of 1850 was to... a. ... satisfy both …
a. ... satisfy both the pro - slavery and anti - slavery states. ### 2. (Como la pregunta está incompleta, se asume que se refiere a opciones sobre el Compromiso de 1850. Si las o…
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2. which angle is an exterior angle?
The exterior angles are $\boldsymbol{a^\circ}$, $\boldsymbol{c^\circ}$, $\boldsymbol{d^\circ}$, $\boldsymbol{e^\circ}$, $\boldsymbol{f^\circ}$, $\boldsymbol{i^\circ}$, $\boldsymbo…
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1. what is the sum of $a^{circ}+b^{circ}$? options: $180^{circ}$ we nee…
180°
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□ $y > x$ □ $y \\leq -3x + 1$ □ $y < -\\frac{1}{2}x + 4$ □ $y \\geq -3x…
- $y > x$ - $y \leq -3x+1$
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30. points b and c lie on segment ad as shown below. the length of segm…
G. 6
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□ $y\\ge -0.5x + 4$ □ $3x + y < 2$ □ $x + 3y < 4$ □ $x + 3y \\le 4$ □ $…
$\boldsymbol{3x+y < 2}$
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find the value of each variable. if your answer is not an integer, writ…
$x = 24\sqrt{3}$ and $y = 36$
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find the value of each variable. x = \\square and y = \\square (simplif…
$x = 15$ and $y = 15\sqrt{2}$
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find the value of variable x. if your answer is not an integer, write i…
5
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question 5 when a system of inequalities is graphed, we call the area w…
Solution region
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solve for x. 5. 6. x = x = 7. use the diagram at the right. a. which an…
$x = 14$ --- ### Problem 6
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3. match the two - dimensional figure and axis of rotation with the sol…
A - 3 (a cone), B - 1 (a cylinder), Semicircle - 2 (a sphere) (assuming the third figure is a semicircle for the sphere; if the third figure's label is missing, based on the solid…
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graph the system of inequalities, y ≥ 4x - 1 y < -x - 6 note: after you…
1. Solid line for $y=4x-1$, shaded above the line. 2. Dashed line for $y=-x-6$, shaded below the line. 3. Green dot placed in the overlapping shaded region (e.g., at $(-5, -3)$).
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graph the system of inequalities. x < y y > -2 note: after you make you…
1. Draw a dashed line for $y=x$ (passing through $(0,0)$, $(1,1)$). 2. Draw a dashed horizontal line for $y=-2$. 3. Shade (and place the green dot in) the region that is above bot…
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find the distance between a and b. a. $2\\sqrt{2}$ units b. 3 units c. …
C. \(\sqrt{10}\) units
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3. name 2 figures for which a circle can be a cross section.
1. Sphere 2. Cylinder
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which angle is adjacent to $\\angle cfd$? $\\angle efa$ $\\angle cfa$ $…
\(\angle CFE\)
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which angle is vertical to $\\angle agc$?\ \ \ \ \ \ $\\angle dgf$\ $\\…
$\angle EGF$
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2. imagine an upright cone with its base resting on your horizontal des…
The cross - section formed by a vertical plane not passing through the cone’s topmost point is a hyperbola (or a parabola depending on the exact angle of the plane, but generally …
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a2 name: lesson 2 practice problems 1. select all figures for which the…
C. rectangular prism, D. cube, F. cylinder, G. sphere
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there is a coordinate plane with two lines intersecting. the x - axis r…
$(-5, 3)$
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options: (-2.5, -2.5); no solution; (0, -3); infinitely many solutions
No solution
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1. use the sketching tool to mark the side that b triangles share as co…
B. SAS ### Question 3
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1. use the sketching tool to mark the side that both triangles share as…
AAS ### Question 3 (Congruence Statement)
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unit 5 test (b) period 1st directions: read through and complete each p…
1. c) 6.2 2. a) 20.2 m 3. b) 36 m 4. d) $\frac{20}{29}$ 5. c) 2704 ft
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16) fill in the blanks using the available answer choices. jason graphe…
II ### Question 17
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question in $\\triangle pqr$, $\\overline{pr}$ is extended through poin…
$18$
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question examples in \\(\\triangle pqr\\), \\(m\\angle p = (4x + 14)\\d…
\(19\)
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question what is the slope of the line that passes through the points (…
undefined
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question in \\( \\triangle tuv \\), \\( \\overline{tv} \\) is extended …
$33$
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question in $\\triangle hij$, $\\overline{hj}$ is extended through poin…
10
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12. determine the relationship between the two triangles and whether or…
12. The two triangles are related by **Angle-Side-Angle (ASA)**, so the triangles **can be proven congruent**. 13. The two triangles are related by **Side-Side-Side (SSS)**, so th…
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question in \\(\\triangle def\\), \\(\\overline{df}\\) is extended thro…
25
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4 multiple choice 1 point the angles, saxons, and jutes all invaded eng…
Western Europe
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6. art marie has a small copy of rene magrittes famous painting, the sc…
a. 80 cm by 60 cm b. 4800 square centimeters c. ~31.50 inches by ~23.62 inches d. ~744.03 square inches --- ### Problem 7
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the floor of a rectangular living room is 7 meters by 3 meters. what is…
7.6 meters
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a pigeon was sitting 3 meters from the base of a telephone pole and fle…
6.3 meters
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eli takes a sheet of paper and cuts from one corner to the opposite cor…
9.5 inches
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julian is fishing from a small boat. a fish swimming at the same depth …
24 feet
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the nets of two square pyramids. determine which one has a greater tota…
Pyramid B (with side 12 ft and triangular height 7 ft) has a greater total surface area.
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an architect is making a floor plan for a rectangular gymnasium. the di…
$2\sqrt{353}$ (or approximately 37.58) meters
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20. what is the value of x? see example 3 for exercises 21–23, find eac…
$8$ --- ### Problem 21 ($y=16$)
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janet is replacing a door that measures 84 inches by 35 inches. what is…
91 inches
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what ordered pairs are the solutions of the system of equations shown i…
$(-7, -9)$ and $(-3, -5)$
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vincents swimming pool is 24 meters by 32 meters. he swam from one corn…
40 meters
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from his home, justin would have to walk due north to get to his friend…
3 miles
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an oak tree is 15 meters tall and a bird is standing on the ground 8 me…
17 meters
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a slide is 5 feet long and 4 feet high. how long is its base, from the …
3 feet
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dakotas rectangular bedroom is 12 feet by 16 feet. what is the diagonal…
20 feet
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f. fill in the blanks. one of the most famous parts of the declaration …
1. self-**evident** 2. created **equal** 3. unalienable **rights** 4. **life**, **liberty**, and the pursuit of **happiness** 5. just **powers** from the **consent** of the govern…
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33. 7, 24, 25 is it possible to form a triangle with these side lengths…
Is it possible to form a triangle with these side lengths? Yes Justify your answer: $7 + 24 > 25$, $7 + 25 > 24$, $24 + 25 > 7$ If so, would the triangle be acute, right or obtuse…
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$y > \\frac{1}{4}x + 5$ plot points on the boundary line. select the li…
1. Plot the boundary line \( y = \frac{1}{4}x+5 \) as a dashed line (using points like \( (0,5) \) and \( (4,6) \)). 2. Shade the region above the dashed line (since the test poin…
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32. 6, 8, 10 is it possible to form a triangle with these side lengths?…
Is it possible to form a triangle with these side lengths? $\boldsymbol{Yes}$ Justify your answer: $6 + 8 > 10$ (all triangle inequalities are satisfied) If so, would the triangle…
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graph this inequality: $y < 3$ plot points on the boundary line. select…
1. Draw a dotted horizontal line \( y = 3 \) (passing through points like \((-2,3)\), \((0,3)\), \((4,3)\) etc.). 2. Shade the region below the line \( y = 3 \) (the region where …
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aph more than one line on the same coordinate plane?phing:intercept for…
No solution
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23. a man leaves work and walks 2 miles west and 1.5 miles south to get…
2.5 mi